Architectural Form Finding and Computational Design of Tall Building Applying Topology Optimization against Lateral Loads
Publication: Journal of Architectural Engineering
Volume 29, Issue 1
Abstract
The hierarchy of a building is created from the hermeneutics aspects changing from a typology to a topology paradigm. As tall buildings are growing rapidly, engineering science is experiencing developments such as the finite-element method. The present research creates a platform for architects using the topology optimization method as an assistant designer. This platform serves as a starter for a common language of these two professions in the early stages of design. Architects can use this platform to produce the final topological optimized form by defining their shape plans, lateral loads, height, and the target ratio of models as platform inputs. This paper highlights the importance of the bidirectional evolutionary structural optimization method simultaneously in architectural and structural contexts to reduce the total weight of the structure while keeping the displacement of the structure in an acceptable range. The reduction will be made by eliminating the structural material zones with lower stress with an effective method for achieving the structural efficiency of a tall building, considering architectural aspects.
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Data Availability Statement
Some or all data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request.
References
Abruzzese, D., and A. Tursi. 2003. “Form finding research: Development between empirical and numerical methods.” In Proc., 2nd Int. Conf. on Structural and Construction Engineering. https://art.torvergata.it/handle/2108/33219.
Agrawal, A. 2014. “Creative mutation.” Accessed April 6, 2021. https://www.creativemutation.com/millipede.
Alaghmandan, M., P. Bahrami, and M. Elnimeiri. 2014. “The future trend of architectural form and structural system in high-rise buildings.” Archit. Res. 4 (3): 55–62.
Ali, M. M. 2001. Art of the skyscraper: The genius of Fazlur Khan. New York: Rizzoli International Publications.
Ali, M. M., and K. S. Moon. 2007. “Structural developments in tall buildings: Current trends and future prospects.” Archit. Sci. Rev. 50 (3): 205–223. https://doi.org/10.3763/asre.2007.5027.
Alvarez, H. A., H. R. Zambrano, and O. M. Silva. 2019. “Influence of density-based topology optimization parameters on the design of periodic cellular materials.” Materials 12 (22): 3736. https://doi.org/10.3390/ma12223736.
Beghini, L. L., A. Beghini, N. Katz, W. F. Baker, and G. H. Paulino. 2014. “Connecting architecture and engineering through structural topology optimization.” Eng. Struct. 59: 716–726. https://doi.org/10.1016/j.engstruct.2013.10.032.
Bendsøe, M. P., and N. Kikuchi. 1988. “Generating optimal topologies in structural design using a homogenization method.” Comput. Methods Appl. Mech. Eng. 71 (2): 197–224. https://doi.org/10.1016/0045-7825(88)90086-2.
Bendsoe, M. P., and O. Sigmund. 2013. Topology optimization: Theory, methods, and applications. New York: Springer.
Frei, O., and B. Rasch. 1995. Finding form: Towards an architecture of the minimal. Stuttgart, Germany: Axel Menges.
Goli, A., M. Alaghmandan, and F. Barazandeh. 2021. “Parametric structural topology optimization of high-rise buildings considering wind and gravity loads.” J. Archit. Eng. 27 (4): 04021038. https://doi.org/10.1061/(ASCE)AE.1943-5568.0000511.
Guest, J. K. 2009. “Topology optimization with multiple phase projection.” Comput. Methods Appl. Mech. Eng. 199 (1–4): 123–135. https://doi.org/10.1016/j.cma.2009.09.023.
Guo, X., W. Zhang, and W. Zhong. 2014. “Doing topology optimization explicitly and geometrically—A new moving morphable components based framework.” J. Appl. Mech. 81 (8): 081009. https://doi.org/10.1115/1.4027609.
Hofmeyer, H., and J. M. Davila Delgado. 2013. “Automated design studies: Topology versus one-step evolutionary structural optimisation.” Adv. Eng. Inf. 27 (4): 427–443. https://doi.org/10.1016/j.aei.2013.03.003.
Huang, X., and Y. M. Xie. 2007a. “Bidirectional evolutionary topology optimization for structures with geometrical and material nonlinearities.” AIAA J. 45 (1): 308–313. https://doi.org/10.2514/1.25046.
Huang, X., and Y. M. Xie. 2007b. “Convergent and mesh-independent solutions for the bi-directional evolutionary structural optimization method.” Finite Elem. Anal. Des. 43 (14): 1039–1049. https://doi.org/10.1016/j.finel.2007.06.006.
Huang, X., and Y. M. Xie. 2008a. “Optimal design of periodic structures using evolutionary topology optimization.” Struct. Multidiscip. Optim. 36 (6): 597–606. https://doi.org/10.1007/s00158-007-0196-1.
Huang, X., and Y. M. Xie. 2008b. “Topology optimization of nonlinear structures under displacement loading.” Eng. Struct. 30 (7): 2057–2068. https://doi.org/10.1016/j.engstruct.2008.01.009.
Huang, X., and Y. M. Xie. 2009. “Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials.” Comput. Mech. 43 (3): 393–401. https://doi.org/10.1007/s00466-008-0312-0.
Huang, X., and Y. M. Xie. 2010a. Evolutionary topology optimization of continuum structures: Methods and applications. Hoboken, NJ: Wiley.
Huang, X., and Y. M. Xie. 2010b. “A further review of ESO type methods for topology optimization.” Struct. Multidiscip. Optim. 41 (5): 671–683. https://doi.org/10.1007/s00158-010-0487-9.
Huang, X., and Y. M. Xie. 2010c. “Evolutionary topology optimization of continuum structures with an additional displacement constraint.” Struct. Multidiscip. Optim. 40 (1–6): 409. https://doi.org/10.1007/s00158-009-0382-4.
Huang, X., Y. M. Xie, and G. Lu. 2007. “Topology optimization of energy-absorbing structures.” Int. J. Crashworthiness 12 (6): 663–675. https://doi.org/10.1080/13588260701497862.
Huang, X., Z. H. Zuo, and Y. M. Xie. 2010. “Evolutionary topological optimization of vibrating continuum structures for natural frequencies.” Comput. Struct. 88 (5–6): 357–364. https://doi.org/10.1016/j.compstruc.2009.11.011.
Isler, H. 1961. “New shapes for shells.” Bull. Int. Assoc. Shell Struct. 8: 123–130.
Kefal, A., A. Sohouli, E. Oterkus, M. Yildiz, and A. Suleman. 2019. “Topology optimization of cracked structures using peridynamics.” Continuum Mech. Thermodyn. 31 (6): 1645–1672. https://doi.org/10.1007/s00161-019-00830-x.
Kingman, J. J., K. Tsavdaridis, and V. Toropov. 2015. “Applications of topology optimization in structural engineering: High-rise buildings and steel components.” Jordan J. Civ. Eng. 9 (3): 335–357. https://doi.org/10.14525/jjce.9.3.3076.
Lee, S., and A. Tovar. 2014. “Outrigger placement in tall buildings using topology optimization.” Eng. Struct. 74: 122–129. https://doi.org/10.1016/j.engstruct.2014.05.019.
Liu, B., C. Jiang, G. Li, and X. Huang. 2020. “Topology optimization of structures considering local material uncertainties in additive manufacturing.” Comput. Methods Appl. Mech. Eng. 360: 112786. https://doi.org/10.1016/j.cma.2019.112786.
McNeel, R. 2018. “TOPOS (by archiseb).” Accessed April 6, 2021. https://www.food4rhino.com/app/topos.
MHUD (Ministry of Housing and Urban Development). 2012. Iranian national building code (part 6): loading. Tehran, Iran: MHUD.
Nabaki, K., J. Shen, and X. Huang. 2019. “Evolutionary topology optimization of continuum structures considering fatigue failure.” Mater. Des. 166: 107586. https://doi.org/10.1016/j.matdes.2019.107586.
Preisinger, C., and M. Tam. 2020. “Welcome to Karamba3D.” Accessed April 6, 2021. https://manual.karamba3d.com/.
Querin, O. M., G. P. Steven, and Y. M. Xie. 1998. “Evolutionary structural optimisation (ESO) using a bidirectional algorithm.” Eng. Comput. 15 (8): 1031–1048.
Querin, O. M., G. P. Steven, and Y. M. Xie. 2000a. “Evolutionary structural optimisation using an additive algorithm.” Finite Elem. Anal. Des. 34 (3-4): 291–308. https://doi.org/10.1016/S0168-874X(99)00044-X.
Querin, O. M., V. Young, G. P. Steven, and Y. M. Xie. 2000b. “Computational efficiency and validation of bi-directional evolutionary structural optimisation.” Comput. Methods Appl. Mech. Eng. 189 (2): 559–573. https://doi.org/10.1016/S0045-7825(99)00309-6.
Rozvany, G. I. N. 2001. “Stress ratio and compliance based methods in topology optimization—A critical review.” Struct. Multidiscip. Optim. 21 (2): 109–119. https://doi.org/10.1007/s001580050175.
Sarkisian, M., E. Long, N. Mathias, A. Beghini, and R. Garai. 2018. “Long-span pedestrian bridges in the USA: A futuristic approach.” Struct. Eng. Int. 28 (4): 425–434. https://doi.org/10.1080/10168664.2018.1488554.
Schumacher, P., and Z. Lei. 2017. “From typology to topology: Social, spatial, and structural.” Archit. J. 11 (590): 1–18.
Simonetti, H. L., V. S. Almeida, and L. de Oliveira Neto. 2014. “A smooth evolutionary structural optimization procedure applied to plane stress problem.” Eng. Struct. 75: 248–258. https://doi.org/10.1016/j.engstruct.2014.05.041.
Stedman, C. 2016. “Fuzzy logic.” Accessed April 6, 2021. https://searchenterpriseai.techtarget.com/.
Tang, J. W., M. Xie, and P. Felicetti. 2012. “Topology optimization of building structures considering wind loading.” In Vol. 166 of Applied mechanics and materials, 405–408. Zurich, Switzerland: Trans Tech Publications.
Tang, Y., A. Kurtz, and Y. F. Zhao. 2015. “Bidirectional evolutionary structural optimization (BESO) based design method for lattice structure to be fabricated by additive manufacturing.” Comput.-Aided Des. 69: 91–101. https://doi.org/10.1016/j.cad.2015.06.001.
Taranath, B. S. 2004. Wind and earthquake resistant buildings: Structural analysis and design. London: Routledge.
Xia, L. 2016. Multiscale structural topology optimization. Amsterdam, Netherlands: Elsevier.
Xia, L., Q. Xia, X. Huang, and Y. M. Xie. 2018. “Bi-directional evolutionary structural optimization on advanced structures and materials: A comprehensive review.” Arch. Comput. Methods Eng. 25 (2): 437–478. https://doi.org/10.1007/s11831-016-9203-2.
Xie, Y. M. 2019. Accessed April 6, 2021. https://ameba.xieym.com/Download.
Xie, Y. M., and G. P. Steven. 1993. “A simple evolutionary procedure for structural optimization.” Comput. Struct. 49 (5): 885–896. https://doi.org/10.1016/0045-7949(93)90035-C.
Yan, X., D. W. Bao, K. Cai, Y. F. Zhou, and Y. M. Xie. 2019. “A new form-finding method for shell structures based on BESO algorithm.” In Proc., IASS Symp. 2019—60th Anniversary Symp. of the Int. Association for Shell and Spatial Structures; Structural Membranes 2019—9th Int. Conf. on Textile Composites and Inflatable Structures, FORM and FORCE, 2000–2007. Madrid, Spain: International Association for Shell and Spatial Structures.
Yoely, Y. M., O. Amir, and I. Hanniel. 2018. “Topology and shape optimization with explicit geometric constraints using a spline-based representation and a fixed grid.” Procedia Manuf. 21: 189–196. https://doi.org/10.1016/j.promfg.2018.02.110.
Yulin, M., and W. Xiaoming. 2004. “A level set method for structural topology optimization and its applications.” Adv. Eng. Software 35 (7): 415–441. https://doi.org/10.1016/j.advengsoft.2004.06.004.
Zadeh, L. A. 1988. “Fuzzy logic.” Computer 21 (4): 83–93. https://doi.org/10.1109/2.53.
Zhao, F. 2014. “Topology optimization with meshless density variable approximations and BESO method.” Comput.-Aided Des. 56 (5): 1–10. https://doi.org/10.1016/j.cad.2014.06.003.
Zhou, M., and G. I. N. Rozvany. 2001. “On the validity of ESO type methods in topology optimization.” Struct. Multidiscip. Optim. 21 (1): 80–83. https://doi.org/10.1007/s001580050170.
Zhu, J. H., W. H. Zhang, and L. Xia. 2016. “Topology optimization in aircraft and aerospace structures design.” Arch. Comput. Methods Eng. 23 (4): 595–622. https://doi.org/10.1007/s11831-015-9151-2.
Zuo, Z. H., and Y. M. Xie. 2015. “A simple and compact python code for complex 3D topology optimization.” Adv. Eng. Software 85: 1–11. https://doi.org/10.1016/j.advengsoft.2015.02.006.
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Published In
Journal of Architectural Engineering
Volume 29 • Issue 1 • March 2023
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Oct 6, 2021
Accepted: Sep 20, 2022
Published online: Nov 15, 2022
Published in print: Mar 1, 2023
Discussion open until: Apr 15, 2023
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